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Simplifying -8(4 + 3x) = 7 + -2(x + 11) + -4 (4 * -8 + 3x * -8) = 7 + -2(x + 11) + -4 (-32 + -24x) = 7 + -2(x + 11) + -4 Reorder the terms: -32 + -24x = 7 + -2(11 + x) + -4 -32 + -24x = 7 + (11 * -2 + x * -2) + -4 -32 + -24x = 7 + (-22 + -2x) + -4 Reorder the terms: -32 + -24x = 7 + -22 + -4 + -2x Combine like terms: 7 + -22 = -15 -32 + -24x = -15 + -4 + -2x Combine like terms: -15 + -4 = -19 -32 + -24x = -19 + -2x Solving -32 + -24x = -19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -32 + -24x + 2x = -19 + -2x + 2x Combine like terms: -24x + 2x = -22x -32 + -22x = -19 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + -22x = -19 + 0 -32 + -22x = -19 Add '32' to each side of the equation. -32 + 32 + -22x = -19 + 32 Combine like terms: -32 + 32 = 0 0 + -22x = -19 + 32 -22x = -19 + 32 Combine like terms: -19 + 32 = 13 -22x = 13 Divide each side by '-22'. x = -0.5909090909 Simplifying x = -0.5909090909
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